A multigrid approach to the average lattices of quasicrystals.

  title={A multigrid approach to the average lattices of quasicrystals.},
  author={Jos{\'e} Luis Arag{\'o}n and G. Naumis and M. Torres},
  journal={Acta crystallographica. Section A, Foundations of crystallography},
  volume={58 Pt 4},
An average structure associated with a given quasilattice is a system composed of several average lattices that in reciprocal space produces strong main reflections. The average lattice of a quasicrystal is a useful concept closely related to the geometric description of the quasicrystal to crystal transformation and has been proved to be structurally significant. Here we calculate average structures for arbitrary two- and three-dimensional quasilattices using the dual generalized method… 
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